If you liked the Ai Shoujo Pollyanna Monogatari anime, the Anime-Planet community thinks you'd like:
For farmers on Prince Edward Island at the end of the 19th century, the world should be simple; with enough manpower, you can till the soil and trade the results for the goods you need to live. If you don't have the strength to farm, get more helpers. But what if the world is more complex? Anne, a mischievous orphan girl, dreams of a world where she can make a difference. An aging pair of siblings realizes that they cannot get by on their own. When their worlds collide, they discover that life in utopia is anything but ordinary, as long as you have enough imagination...
Both Anne and Pollyanna are outspoken girls who live in the late 1800's. They also both move to a new home with a stubborn woman as a new parent-figure which gradually grows to love the talkative girls.
When Emily Starr's father died, she was left in the care of her deceased mother's family, the Murrays. However, the rich and prestigious Murrays never approved of Emily's simple father, and she was thus not welcomed into loving arms. With her trusty cat and nary a possession, Emily left for her new home - New Moon - where many a joy and sorrow awaited her. Now, along with tough Ilse, artistic Teddy and loyal Perry, Emily will laugh, cry, and try to win the hearts of her new family.
Emily and Pollyanna are both young girls who move in with their mother's side of the family aunt after their father suddenly dies. Both of their aunts at first only take the girl in because of 'duty' and are strict and old-fashioned. That's how both of the girls start their new orphan lives as they go through hardships, make friends and grow up.
Though Emily and Pollyanna are very different in personality, the set up of these two series is nearly exactly the same so it's a given you'll enjoy the other if you liked one of the two.